2. Consider the surface comprising a cylinder x2 + y2 = 32 with end caps at z = -2 and z = 2. Let F = (y, x, z) be a vector field. (a) (1 point) The flux of F directed outward through the top cap at z = 2 is 187. What is the flux of F outward through the bottom cap at z = -2. Give a brief reason for the sign of your answer (either a single sentence or a brief calculation will suffice). (b) (4 points) Compute the total flux of F outward through the entire surface